Particle behavior simulation method and particle behavior simulation system

Abstract

Provided is a particle behavior simulation method and a particle behavior simulation system for representing behavior of each particle in a large-scale particle system quickly and accurately. The particle behavior simulation system is configured to execute a coarse-graining processing of reconstituting a plurality of particles that mix with each other and constitute a predetermined powder as a particle system into a plurality of particle groups each including a plurality of the particles, an acting force calculation processing of calculating an acting force acting on each of the particle groups, and a mixing state calculation processing of calculating a parameter representing a mixing state of constituent particles of each of the particle groups after a predetermined time based on the calculated acting force.

The invention claimed is: 
     
       1. A particle behavior simulation method, executed with a particle behavior simulation system including a processor and a memory, comprising:
 predicting behavior of constituent particles that mix with each other and constitute a predetermined powder by simulating a particle system in which each of a plurality of particle groups is a course grain particle that represents a number of the constituent particles in a simulated mixing process; 
 determining a force acting on each of the particle groups; 
 determining, as a mixing state parameter, a number of the constituent particles represented in the simulation by each of the particle groups after a predetermined time interval based on the force acting on each of the particle groups,
 wherein in determining the number of the constituent particles represented in the simulation by each of the particle groups, the particle behavior simulation system determines whether a collision exists between the particle groups by determining positions of the particle groups based on the force acting on each of the particle groups, and updates the number when it is determined that a collision exist; 
 
 determines a collision velocity as a parameter associated with a particle replacement parameter indicating a probability that the constituent particles represented by the particle groups are replaced between the particle groups at a time of collision between the particle groups; and 
 updates the collision velocity parameter based on the particle replacement parameter when it is determined that the particle groups collide with each other. 
 
     
     
       2. The particle behavior simulation method according to  claim 1 , wherein in determining the number of the constituent particles represented in the simulation by each of the particle groups, the particle behavior simulation system determines a mixing ratio as a parameter indicating a change in a ratio of the number of the constituent particles represented by each of the particle groups after the predetermined time interval. 
     
     
       3. The particle behavior simulation method according to  claim 1 , wherein the particle behavior simulation system stores the particle replacement parameter as a function depending on the collision velocity of each of the colliding particle groups. 
     
     
       4. The particle behavior simulation method according to  claim 1 , wherein the particle behavior simulation system outputs information on the collision velocity parameter. 
     
     
       5. A particle behavior simulation system comprising a processor and a memory, configured to execute simulation functions comprising:
 predicting behavior of constituent particles that mix with each other and constitute a predetermined powder by simulating a particle system in which each of a plurality of particle groups is a course grain particle representing a number of the constituent particles in a simulated mixing process; 
 determining a force acting on each of the particle groups; 
 determining, as a mixing state parameter, a number of the constituent particles represented by each of the particle groups after a predetermined time interval based on the force acting on each of the particle groups,
 wherein the particle behavior simulation system is configured to, in determining the number of the constituent particles represented by each of the particle groups determine whether a collision exists between the particle groups by determining positions of the particle groups based on the force acting on each of the particle groups, and update the number when it is determined that a collision exists; 
 
 determine a collision velocity vector as a parameter associated with a particle replacement parameter indicating a probability that the constituent particles represented by the particle groups are replaced between the particle groups at a time of collision between the particle groups; and 
 update the collision velocity parameter based on the particle replacement parameter when it is determined that the particle groups collide with each other. 
 
     
     
       6. The particle behavior simulation system according to  claim 5 , wherein the particle behavior simulation system is configured to, in determining the number of the constituent particles represented by each of the particle groups, determine a mixing ratio which is as a parameter indicating a change in a ratio of the number of the constituent particles represented by each of the particle groups. 
     
     
       7. The particle behavior simulation system according to  claim 5 , wherein
 the particle behavior simulation system is configured to store the particle replacement parameter as a function depending on the collision velocity of each of the colliding particle groups. 
 
     
     
       8. The particle behavior simulation system according to  claim 5 , wherein the particle behavior simulation system is configured to output information on the first parameter.